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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: (x+2013) *2012+ Iy-2012I*2013=0

Toán Lớp 7: (x+2013) *2012+ Iy-2012I*2013=0

Comments ( 2 )

  1. Giải đáp:
    x=-2013;y=2012
    Lời giải và giải thích chi tiết:
    (x+2013)^2012+|y-2012|^2013=0
    Ta có:
    {((x+2013)^2012ge0forallx),(|y-2012|^2013ge0forally):}
    =>(x+2013)^2012+|y-2012|^2013ge0forallx;y
    Mà (x+2013)^2012+|y-2012|^2013=0
    =>{((x+2013)^2012=0),(|y-2012|^2013=0):}
    =>{(x+2013=0),(y-2012=0):}
    =>{(x=0-2013),(y=0+2012):}
    =>{(x=-2013),(y=2012):}
    Vậy x=-2013;y=2012

  2. $\text{$(x + 2013)^{2012}$ + $|y – 2012|^{2013}$ = 0}$
    $\text{Có: $(x + 2013)^{2012}$ ≥ 0 với ∀ x}$
    $\text{$|y – 2012|^{2013}$ ≥ 0 với ∀ y}$
    $\text{⇒ $(x + 2013)^{2012}$ + $|y – 2012|^{2013}$ ≥ 0 với ∀ x, y}$
    $\text{Dấu “=” xảy ra ⇔ $\begin{cases} (x + 2013)^{2012}\\|y – 2012|^{2013} = 0 \end{cases}$}$
    $\text{⇔ $\begin{cases} x + 2013 = 0\\y – 2012 = 0 \end{cases}$}$
    $\text{⇔ $\begin{cases} x = -2013\\y = 2012 \end{cases}$}$
    $\text{Vậy $\begin{cases} x = -2013\\y = 2012 \end{cases}$}$
    $\textit{Ha1zzz}$
     

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222-9+11+12:2*14+14 = ? ( )

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